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March 14th, 2009, 09:42 PM   #1
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level surfaces of function

How do you describe the level surface of this function
f(x,y,z) = x^(2) + 3y^(2)+ 5z^(2)

This seems like a family of ellipsoids but I really dont know for sure.
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March 15th, 2009, 12:50 AM   #2
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Re: level surfaces of function

That's correct. Rearranging, it looks like this:



When c is positive, this level surface is an ellipsoid.
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